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On finite groups with some subgroups of prime indices

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Abstract

We establish the solvability of each finite group whose every proper nonmaximal subgroup lies in some subgroup of prime index.

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Authors and Affiliations

  1. F. Scorina Gomel State University, Gomel’, Belarus

    V. S. Monakhov & V. N. Tyutyanov

Authors
  1. V. S. Monakhov
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  2. V. N. Tyutyanov
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__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 4, pp. 833–836, July–August, 2007.

Original Russian Text Copyright © 2007 Monakhov V. S. and Tyutyanov V. N.

The authors were supported by the Belarus Foundation for Basic Research (Grants F04MC-060 and F05-341).

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Monakhov, V.S., Tyutyanov, V.N. On finite groups with some subgroups of prime indices. Sib Math J 48, 666–668 (2007). https://doi.org/10.1007/s11202-007-0068-3

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  • DOI: https://doi.org/10.1007/s11202-007-0068-3

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